A326717 Coefficients of polynomials related to ordered set partitions. Triangle read by rows, T_{m}(n, k) for m = 5 and 0 <= k <= n.

1, 0, 1, 0, 127, 126, 0, 255256, 381381, 126126, 0, 2979852651, 5447453786, 2956465512, 488864376, 0, 127156445503275, 264284637872750, 184292523727620, 52359004217520, 5194672859376

Offset

0,5

Links

Table of n, a(n) for n=0..20.

Formula

T(n, k) = T_{5}(n, k) where T_{m}(n, k) is defined in A326477.

Example

Triangle starts:
[0] [1]
[1] [0, 1]
[2] [0, 127, 126]
[3] [0, 255256, 381381, 126126]
[4] [0, 2979852651, 5447453786, 2956465512, 488864376]
[5] [0, 127156445503275, 264284637872750, 184292523727620, 52359004217520, 5194672859376]
[6] [0, 15160169962750251082, 34544220081315967665, 28276496764200664980, 10634436034307385300, 1865368063755476280, 123378675083039376]

Maple

# See A326477.

Crossrefs

Row sums A243666. Main diagonal A025037.

A129062 (m=1, associated with A131689), A326477 (m=2, associated with A241171), A326587 (m=3, associated with A278073), A326585 (m=4, associated with A278074), this sequence (m=5).

Sequence in context: A217557 A320571 A082456 * A080540 A334105 A077358

Adjacent sequences: A326714 A326715 A326716 * A326718 A326719 A326720

Keyword

nonn,tabl

Author

Peter Luschny, Jul 21 2019

Status

approved